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Finding the Fourth Proportional to 1,987.58, 2,982.38 and 818.48

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Solution

The fourth proportional to 1,987.58, 2,982.38 and 818.48 is: 1,228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.58 : 2,982.38 = 818.48 : x
  2. Step 2: Convert to fraction form
    1,987.58/2,982.38 = 818.48/x
  3. Step 3: Cross multiply
    1,987.58x = 2,982.38 × 818.48
  4. Step 4: Simplify right side
    1,987.58x = 2,441,018.38
  5. Step 5: Solve for x
    x = 2,441,018.38/1,987.58
  6. Step 6: Final answer
    x = 1,228.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.